Virgil has 1/6 of a birthday cake left over. He wants to share the leftover cake with 3 friends. What fraction of the original cake will each of the 4 people receive? Draw a picture to support your response.

Answer:

120

Step-by-step explanation:

LCM of (2^3×3×5) and (3×5) is​

The LCM of the expression will be the product of all the factors that are in both expressions

(2^3×3×5) = 2 * 2 * 2 * 3 * 5

(3 * 5) = 3 * 5

since 3 * 5 is common to both factors, we will not have to repeat it twice to get our LCM again. Hence the LCM is expressed as;

LCM = 2 * 2 * 2 * 3 * 5

LCM  = 8 * 3 *5

LCM = 24 * 5

LCM = 120

Hence the required LCM is 120

Answer:

3 is a whole number while 2/3 is less than 3

Step-by-step explanation:

Answer: false, true, true, and i don’t know the last one

Step-by-step explanation:

Answer:

no, b does not equal 5 in that equation

Step-by-step explanation:

if you solve for x, this is how it would look:

65/b + 8 x 4 = 20

65/b + 32 = 20

65/b = 20 - 32

65/b = -12

65 = -12b

-12b = 65

b = -65/12 (or -5 5/12)

Answer:

21

Step-by-step explanation:

so the relationship is that the music is ten times the commercials so, divide 210 by 30 and times that number by 3 210/30= 7, 7'3=21

Answer:

21 minutes of commercials

Step-by-step explanation:

If Hits 96 must play 3 minutes of commercials for every 30 minutes of music played, than the ratio of minutes of commercials to minutes of music is 3:30=1:10.

If 210 minutes of music is played, we can model the situation with the equation [tex]\frac{1}{10} =\frac{x}{210}[/tex]

We can use cross multiply to simplify the equation to [tex]10x=210[/tex]

Dividing each side by 10, we get [tex]x=21[/tex]

So, if 210 minutes of music is played, 21 minutes of commercials is played.

Answer:

C) f(x) x g(x) = 6x2 + x-1

Step-by-step explanation:

Multiplication of functions:

Two multiply two polynomial functions, we apply the distributive property(multiply each two terms and add).

In this question, we have that:

[tex]f(x) = 3x - 1, g(x) = 2x + 1[/tex]

The multiplication is:

[tex]f(x) \times g(x) = (3x - 1)(2x+1) = 3x*2x + 3x*1 -1*2x -1*1 = 6x^2 + 3x - 2x - 1 = 6x^2 + x - 1[/tex]

The correct answer is given by option C.

Answer:

c = 2.2m is the answer.

Step-by-step explanation:

a = 1m

b = 2m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

1² + 2² = c²

1 + 4 = c²

c² = 5

c = 2.2m

∴ the slide is 2.2m long.

Answer:

4.32m²

Step-by-step explanation:

Width · Length

3.6 · 1.2 = 4.32

Answer:4.32 m

Step-by-step explanation:When trying to find the area of something with length and width you multiply them both to find your answer. (1.2 x 3.6=4.32) or you can always multiply 12 times 36 and move the decimal to where it belongs.

Answer:

B. y+ 4 = 3/4 (x-6)

Step-by-step explanation:

Given:

m = 3/4

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = 3/4(x - 6)

Answer:

A person jumping on a trampoline

Answer:

D)  (-8, 3)

Step-by-step explanation:

90° counterclockwise brings point to (-4, 3)

translation 4 units to left brings point to (-8, 3)

Answer:

D. More than 25% of the students chose football and tennis as their favorite sport to play

Step-by-step explanation:

From the dot plot :

Sport __Number of students

Hockey = 4

Track = 2

Tennis = 3

Basketball = 12

Soccer = 6

Football = 10

Golf = 5

Baseball = 8

Total = (4+2+3+12+6+10+5+8) = 50

Students of basketball, golf and track = (12 + 5 + 2) = 19 ; 19 /50 =

Percentage that chose base ball = 8 /50 *100 = 16%

(soccer + hockey) = (6+4) = 10/50 = 1/5

Football + tennis = (10 + 3) = 13

13/50 = 0.26 * 100% = 26% (True)

Answer:

First, assume that we have 14 seats in a row.

Let's count the total number of combinations assuming that the 14 kids are differentiable.

In the first seat, we can sit only one child, the number of options is (14)

In the second seat, we can sit another child, in this case, the number of options is 13, because one child is already seated.

For the third seat, we will have 12 options.

for the fourth seat we will have 11 options, and so on.

The total number of permutations is equal to the product between the numbers of options for each case.

Then the total number of permutations is:

P = 14*13*12*11*...*3*2*1 = 14!

Now, we need to discount the permutations of the two sets of identical triplets:

a triplet has 3 elements, then the permutations of each set of triplets is:

p = 3*2*1 = 3!

Then if we discount two sets of triplets, we need to divide by:

d = 2*(3!)

We also have 3 sets of twins, the permutations for each set of twins is:

p = 2*1 = 2!

Then if we discount the 3 sets of twins, we need to by:

q = 3*(2!)

Then the total number of different combinations will be:

[tex]P = \frac{14!}{2*(3!)*3*(2!)} = 1,210,809,600[/tex]

Answer:

90

Step-by-step explanation:

the angles that are on the opposite side are same

LEARNED THIS IN FOURTH GRADE

I'm still in  fourth grade

my math teacher taught us this separately.

I go to School for the Highly Gifted in Grand Prairie, Texas

9514 1404 393

Answer:

  7.6

Step-by-step explanation:

The relevant relation is ...

  Cos = Adjacent/Hypotenuse

  cos(51°) = x/12

  x = 12·cos(51°) ≈ 7.552

  x ≈ 7.6

Answer:

The gas cost for the Camry will be $ 150.

Step-by-step explanation:

Since in planning a Thanksgiving vacation, you want to rent a car for a week and travel the Pacific Highway from San Francisco to San Diego, and you want to return to San Francisco via Las Vegas, Death Valley, and Yosemite National Park, and this trip covers approximately 1,500 miles, and you plan to return the car with a full tank of gasoline and are considering two options advertised by Hertz:

Toyota Camry, 40 mpg highway, costs $ 448.27 plus taxes and fees, totaling $ 533.65.

Toyota Prius Hybrid, 49 mpg highway, costs $ 610.58 plus taxes and fees, totaling $ 772.88.

In both cases, you must purchase gasoline, which costs $ 4.00 per gallon in California.

To determine the total cost of gasoline for the Camry, the following calculation must be performed:

(1,500 / 40) x 4 = X

37.5 x 4 = X

150 = X

Therefore, the gas cost for the Camry will be $ 150.

Answer:

33.3 ft

Step-by-step explanation:

Draw a picture, you should see that a right triangle is formed from the flag and shadow. Apply pythagorean theorem. See attached image for work out.

Answer:

It's option C

Step-by-step explanation:

C. You pick two numbered billiard balls from a bag of balls one after the other without replacement.

Answer:

3

Step-by-step explanation:

f ( x ) = 1 / x - 2

g ( x ) = 4 / x

_________________________________

( f o g )( x ) = f ( g(x) )

f ( g(x) ) = 1 / g(x) - 2

f ( g(x) ) = 1 / ( 4 / x ) - 2

f ( g(x) ) = x / 4 - 2x

Answer:Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]by using Pythagoras law:h²=p²+b²

10²=x²+8²

x=√36=6 units.

Answer:

[tex] \frac {1}{3}x - 5 [/tex]

Step-by-step explanation:

Let the unknown number be x.

Translating the word problem into an algebraic expression, we have;

[tex] \frac {1}{3}x - 5 [/tex]

Or

[tex] \frac {x}{3} - 5 [/tex]

Simplifying further, we have;

[tex] \frac {x}{3} = 5 [/tex]

Cross-multiplying, we have;

x = 15

Therefore, the above algebraic expression is five less a third of a number.

56565556666665565/5455455/-45444×44555544×+45567777

4549

Answer:

The answer is 6 seals plz mark as brainiest to show your appreciation

Step-by-step explanation:

Answer: B) Negative

Step-by-step explanation:

Answer:

B) Negative

Step-by-step explanation:

The question states that as the number of people increases, the price of each seat decreases. Therefore this is a negative trend, because the increase in one variable leads to the decrease in the other variable.

Hope this helped!

Answer:

67,600

Step-by-step explanation:

The formula is:

V= (3.14)π⋅ (radius)r^2⋅(height)h/3

(^2 is a exponent)

How to solve:

π ·2^2· 9/3= 37.69911

(Round to the nearest tenth)

Answer:it’s x=(2.2, -0.4)

Step-by-step explanation:

Answer:

Can you actually do your own work

Step-by-step explanation:

Do it yourself